• DocumentCode
    1428634
  • Title

    Convergence properties of the Newton-Raphson method for nonlinear problems

  • Author

    Janicke, Lutz ; Kost, Arnulf

  • Author_Institution
    Lehrstuhl Allgemeine Elektrotech., Brandenburgische Technische Univ. Cottbus, Germany
  • Volume
    34
  • Issue
    5
  • fYear
    1998
  • fDate
    9/1/1998 12:00:00 AM
  • Firstpage
    2505
  • Lastpage
    2508
  • Abstract
    In order to solve the nonlinear equation system arising when solving magnetic fields with the finite element method, very often the Newton-Raphson method is applied. Sometimes it is advantageous or necessary to apply relaxation factors in order to improve the convergence. In this paper reasons and workarounds for the convergence problem are discussed
  • Keywords
    Newton-Raphson method; convergence of numerical methods; magnetic fields; magnetostatics; nonlinear equations; FEM; Newton-Raphson method; convergence properties; finite element method; magnetic fields; nonlinear equation system; nonlinear problems; relaxation factors; Convergence; Finite element methods; Magnetic anisotropy; Magnetic fields; Magnetic flux; Magnetic materials; Magnetostatics; Newton method; Nonlinear equations; Perpendicular magnetic anisotropy;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.717577
  • Filename
    717577
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1428634